14axial potentials good approximation for all experiments: a a>0, b=0distance from symmetry center/mmpotential/eVa>0, b=0a=0, b>0a<0, b>014

15generalized normal modesgood approximation for all experiments:generalized equilibrium condition:(ion distance d)generalized normal modes:(small oscillations << d)special cases:a and b determine equilibrium distance and normal mode splittingnormal mode splitting given by (dipole-dipole) Coulomb-energy at distance dfundamental character of oscillations independent of a and bentangling gates can be implemented in the same way for all a and b15